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231410120 = 235171917911
BaseRepresentation
bin11011100101100…
…00100111001000
3121010102212000012
431302300213020
5433220110440
634543531052
75506645034
oct1562604710
9533385005
10231410120
11109696937
12655b9a88
1338c34086
1422a3b1c4
15154b0e65
hexdcb09c8

231410120 has 64 divisors (see below), whose sum is σ = 580348800. Its totient is φ = 82529280.

The previous prime is 231410117. The next prime is 231410131. The reversal of 231410120 is 21014132.

It is a junction number, because it is equal to n+sod(n) for n = 231410095 and 231410104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3965 + ... + 21875.

It is an arithmetic number, because the mean of its divisors is an integer number (9067950).

Almost surely, 2231410120 is an apocalyptic number.

231410120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290174400).

231410120 is an abundant number, since it is smaller than the sum of its proper divisors (348938680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231410120 is a wasteful number, since it uses less digits than its factorization.

231410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17958 (or 17954 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 231410120 is about 15212.1701278943. The cubic root of 231410120 is about 613.9421477816.

Adding to 231410120 its reverse (21014132), we get a palindrome (252424252).

The spelling of 231410120 in words is "two hundred thirty-one million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 12920 17911 35822 71644 89555 143288 179110 304487 340309 358220 608974 680618 716440 1217948 1361236 1522435 1701545 2435896 2722472 3044870 3403090 5785253 6089740 6806180 11570506 12179480 13612360 23141012 28926265 46282024 57852530 115705060 231410120